Geodesic
Existence and uniqueness of mild and classical solutions to fractional order Hadamard-type Cauchy problem
Katatbeh, Qutaibeh1 ; Al-Omari, Ahmad2
1 Department of Mathematics and Statistics, Faculty of Science and Arts, Jordan University of Science and Technology, Irbid 22110, Jordan
2 Faculty of Sciences, Department of Mathematics, Al al-Bayt University, P. O. Box 130095, Mafraq 25113, Jordan
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 3, p. 827-835.

Voir la notice de l'article provenant de la source International Scientific Research Publications

We consider the existence and uniqueness of a mild and classical solution to impulsive nonlocal conditions fractional-order Hadamard-type Cauchy problem. The results are obtained by means of fixed point methods. Finally, we illustrate our results by an example of fractional-order Hadamard-type Cauchy problem.
DOI : 10.22436/jnsa.009.03.11
Classification : 34A08, 34N05, 34A12
Keywords: Hadamard fractional derivative, integral boundary conditions, fixed point theorems, impulsive equations.

Katatbeh, Qutaibeh 1 ; Al-Omari, Ahmad 2

1 Department of Mathematics and Statistics, Faculty of Science and Arts, Jordan University of Science and Technology, Irbid 22110, Jordan
2 Faculty of Sciences, Department of Mathematics, Al al-Bayt University, P. O. Box 130095, Mafraq 25113, Jordan 
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Katatbeh, Qutaibeh; Al-Omari, Ahmad. Existence and uniqueness of mild and classical solutions to  fractional order Hadamard-type Cauchy problem. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 3, p. 827-835. doi : 10.22436/jnsa.009.03.11. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.03.11/

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